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Finding the Fourth Proportional to 5,664.74, 8,497.08 and 2,201.99

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Solution

The fourth proportional to 5,664.74, 8,497.08 and 2,201.99 is: 3,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.74 : 8,497.08 = 2,201.99 : x
  2. Step 2: Convert to fraction form
    5,664.74/8,497.08 = 2,201.99/x
  3. Step 3: Cross multiply
    5,664.74x = 8,497.08 × 2,201.99
  4. Step 4: Simplify right side
    5,664.74x = 18,710,517.49
  5. Step 5: Solve for x
    x = 18,710,517.49/5,664.74
  6. Step 6: Final answer
    x = 3,302.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.